Solve. Trigonometry using cosine, tangent and sine

Answers

Answer 1

Answer:

CD = 30.43; LK = 14.08

Step-by-step explanation:

Problem 12.

Let's first find BD. Triangle ADB is a right triangle with hypotenuse AB. By definition of sine ( or by theorem, they're equivalent) [tex]{BD \over 20} = sin 54.[/tex], hence BD= 16.18. Jump on the other side now. Triangle BDC is a right triangle with sides BD and CD. By definition of tangent [tex] {{16.18} \over CD} = tan 28 [/tex], thus CD= 30.43.

Problem 13

Assuming the 72° is angle JLK

As usual, triangle MJL is a right triangle with sides MJ and LJ. By definition of tangent [tex] {{JL} \over 14} = tan 51 [/tex]. Follows that JL = 14.81. Now, similarly, trinagle JLK is a right triangle, with hypotenuse JL. From the definition of sine, as before,[tex]{KL \over 14.81} = sin 72.[/tex]. Solving for the only unknown value, you find LK = 14.08.

Please double check the calculations and feel free to add more digits if required

Related Questions

Solve the equations.
[tex]\sqrt{x^{2} } =14[/tex]
[tex]\sqrt{x^{2} } =17[/tex]
[tex]\sqrt{y^{2} } =5[/tex]

Answers

Answer:

[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]

Step-by-step explanation:

Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.

This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].

pls answer this for meeee

Answers

Answer:

7 hamsters at 5 pesos each and 13 hamsters at 8 pesos each

Step-by-step explanation:

5x + 8y = 139

x + y = 20

x = 20 - y

5x + 8y = 139

5(20 - y) + 8y = 139

100 - 5y + 8y = 139

100 + 3y = 139

3y = 139 - 100

3y = 39

3y/3 = 39/3

y = 13

x + y = 20

x + 13 = 20

x = 20 - 13

x = 7

Plz help me. Thank you.

Answers

Answer:

It Is9

Step-by-step explanation:

I am really confused

Answers

Answer:

the answer is (B) 66 inch .

HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?

-10

4

10

3

16

Function A; 1.5

Function B; 30

Function B; 23

Function B; 3

8

2

Function A; 1

Function B; 1

Function A; 9

Answers

Answer:

function A;1

function B:30

Rewrite the equation below so that it does not have fractions.

3/4x-5=3/8

Do not use decimals in your answer.

Answers

Answer:

Step-by-step explanation:

pasos

x−5=

Agrega 5 a ambos lados.

Convertir 5 a la fracción

Como

tienen el mismo denominador, sume sus numeradores para sumarlos.

3+40

Suma 3 y 40 para obtener 43.

Multiplica los dos lados por

, el recíproco de

×(

)

Multiplica

por

(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

8×3

43×4

Realiza las multiplicaciones en la fracción

8×3

43×4

172

Reduzca la fracción

172

a su mínima expresión extrayendo y anulando 4.

6x=43 should be the answer

Write the slope-intercept form of the equation of the line through the given point.
Through: (-4, -5) and (4, 2)

Answers

Answer:

y = mx + b.

y = 7/8x - 3/2

Step-by-step explanation:

Hope this helps!! :))

Find the equation of the line, whose slope is 5 and x- intercept is 2

Answers

Answer:

Step-by-step explanation:

when x intercept is points given, then y = 0

So far, you have y = 5x + b where b = the yintercept

x = 2

y = 0

0 = 5x + b

0 =5 * 2 + b

0 = 10 + b Subtract 10 from both sides.

-10 = b

Equation: y = 5x - 10

Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?

Answers

Step-by-step explanation:

Given:

Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 years

Find amount of interest in both investments:

I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00

As we see the online savings account earns more interest and the difference is:

$561.00 - $348.65 = $212.35 ≈ $212

what type of triangle is ABC,give reasons

Answers

Answer:

ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle

(-2, -1) and (-4, -7)
Find the slope of the line that passes through the two given points

Answers

Answer:

m=3

Step-by-step explanation:

Hello everyone how are ya‘ll help plz

23x+4=30

Answers

Answer:

= 26/23

Step-by-step explanation:

omg please help idek

Answers

I believe The exact form is 2/45, while the decimal form would be 0.4 continuous

Elena sold ice cream at the fair. One day she sold one-third of the gallons of vanilla ice cream that she had, and then gave away 3 more gallons of vanilla ice cream. At the end of the day, she had one gallon of vanilla ice cream left. Write an equation to find how many gallons of vanilla ice cream Elena had at the beginning of the day.

Answers

Answer:

Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckck

Step-by-step explanation:

Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer

Which of the following represents a combination reaction?
Select one:

a.
AB --> A + B

b.
AB + CD --> AD + BC

c.
A - B --> C

d.
A + B --> AB

Answers

Answer:

option a is the correct.

I think

2.9. What is the equation of a line parallel to 3x + 4 = y and passing through
(4,-2)?
A. 3x + 10 = y
B. 3x – 14 = y
C. -*-=y
D. --*x+10=y

Answers

Hello! (:

3x+4=y

We want to convert it into slope-intercept form:

y=mx+b

Our equation looks like this:

y=3x+4

Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.

Now, we have the slope and a point, so we write the equation in point-slope form:

y-y1=m(x-x1)

y-(-2)=3(x-4)

y+2=3x-12

y=3x-12-2

y=3x-14

Hence, that is the required equation, Hope it helps you!

If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower (:[/tex]

Someone please help me with this question

Answers

This is a right triangle. Right triangles have one right angle.

Solve for X: x-5=m
Options
x=m
x=5
x=m+5
x=m-5

Answers

Answer:

x=m+5

Step-by-step explanation:

if x minus 5 is m then reverse it and m plus 5 would be x

Answer:

x=m: x-5=m which means m-5=m which means 5=0 which means No Solutions

x=5: x-5=m which means 5-5=m which means m=0

x=m+5: m+5-5 which means m-0=m which means No solutions

x=m-5: m-5-5=m which means m-10=m which means -10=0 which means No solutions

The dimensions of a right triangle are shown in the diagram.

What is the length of the missing side, to the nearest tenth of a centimeter?

Answers

Answer:

18.4 cm

Step-by-step explanation:

For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse. In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!

The sum of two numbers is 88. The larger number is 16 more than the smaller number. What is the smaller number?

Answers

Answer: please mark me brainliest

Step-by-step explanation:

you half 88 you get to 44 and then you add 16 that is 60. 88 subtract 60 is 28

Can some one help quickly. Please show work

Answers

Answer: the answer is 2

Step-by-step explanation:

True of False? The blue radius is perpendicular to the green chord

Answers

Answer:

Step-by-step explanation:

true i think

The statement that the blue radius is perpendicular to the green cord is false.

What are radius and chords?

The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle.

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Answers

Answer:

(x+10)(x+10) or (x+10)^2

Step-by-step explanation:

Divide by -1 first

a=1

b=20

c=100

Since a*c whose sum is b...

1*100=100

10*10=100 and adds to 20

The answer is (x+10)(x+10) or (x+10)^2

how did you get m in the equation

Answers

to get m in an equation u find it in y=mx+b

Which of the following closet to a yard in length?
(a).0.1m
(b).0.01m
(c).1m
(d).100m
Could you answer my question ⁉️

Answers

Answer:

option. b

Step-by-step explanation:

.0.01m........

I will mark you brainly Answer the following questions. Questions What is an amount between $2 and $10? (A) __________ What is an amount between $10 and $20? (B) __________ What is an amount greater than $50? (C) __________ What is your name? (D) _________________ What is the name of an item that you will buy only once? (E) _________________ What is the name of an item that you will buy more than once? (F) _________________ Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers. Word Problem (D) _________________ is going shopping for (E) _________________ and (F) _________________. The cost of (E) _________________ is (B) __________ and the cost of each (F) _________________ is (A) __________. If (D) _________________ can spend at most (C) __________, how many (F) _________________ can be purchased? Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. Explain what the solution means in the context of the word problem.

Answers

Answer:

Step-by-step explanation:

You can see the answer and solving inequality in the below document

Given the diagram below find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

a straight line has the angle of 180 degrees

so when added together both angles should equal 180

4x - 17 + 137 = 180

then combine like terms

4x + 120 = 180

and then subtract

4x = 60

and then divide

x = 15

and that is your answer

what is the answer to 5^-16+24 with solution

Answers

Answer:

Step-by-step explanation:

i used calculator. it is so easy

A valuable collection of coins contained old nickels, dimes,quaters, and pennies. The face value of the pennies was $8. Therewere seven more than three times as many quaters as dimes andsixteen less than twice as many nickels as quaters. If the facevalue of the entire collection was $38.40, how many of each kind ofcoin was there?

Answers

Answer:A number line shows 114, −224, and −134. Which statement is NOT true?

Step-by-step number line shows 114, −224, and −134. Which statement is NOT true?

A number line shows 114, −224, and −134. Which statement is NOT true?

help pls need help show your solution and then graph

Answers

Answer:

Step-by-step explanation:

We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.

ax^2 + bx + c

a=4

b=-9

c=2

you can try it by hand or use this:

https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php

you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)

so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis

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